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Finding the Fourth Proportional to 13,106.50, 19,653.06 and 4,338.25

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Solution

The fourth proportional to 13,106.50, 19,653.06 and 4,338.25 is: 6,505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.50 : 19,653.06 = 4,338.25 : x
  2. Step 2: Convert to fraction form
    13,106.50/19,653.06 = 4,338.25/x
  3. Step 3: Cross multiply
    13,106.50x = 19,653.06 × 4,338.25
  4. Step 4: Simplify right side
    13,106.50x = 85,259,887.55
  5. Step 5: Solve for x
    x = 85,259,887.55/13,106.50
  6. Step 6: Final answer
    x = 6,505.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.